35322 Analysis 2

6cp; 4hpw
Requisite(s): 35321 Analysis 1 AND 35212 Linear Algebra

Topics covered include: metric and normed spaces, Banoch spaces; compact subsets of R, the Heine-Borel theorem; topological spaces: Hausdorff spaces, homeomorphisms; operators and functionals on normed spaces, the dual space; inner product spaces; Hilbert space; Hilbert space isomorphism; measures and outer measures; lebesgue and Lebesgue-Stieltjes measure; borel sets; the Cantor set; measurable functions, step functions; the Lebesgue integral; Lp spaces: Hölder and Minkowski inequalities, completeness; product measures; probability spaces: random variables, distribution functions, independence, expectation and variance; modes of convergence: Borel-Cantelli lemmas, laws of large numbers; the Radon-Nikodym theorem; and conditional expectation and conditional probability.

Typical availability

Spring semester, City campus

Fee information

2006 contribution for 2005/06 commencing Commonwealth-supported undergraduate students: $872.38
2006 amount for undergraduate domestic fee-paying students: $2,190.00
Subject EFTSL: 0.125
Note: The above fees are applicable in 2006 for 2005/06 commencing Commonwealth-supported and domestic fee-paying undergraduate students only. Pre-2005 Commonwealth-supported undergraduate students should consult the Student contribution charges for Commonwealth supported students webpage.
Not all students are eligible for Commonwealth supported places, and not all subjects are available to Commonwealth supported students. Other students (such as postgraduate students and international students) should refer to the Fees webpage.

Access conditions

Note: The requisite information presented in this subject description covers only academic requisites. Full details of all enforced rules, covering both academic and admission requisites, are available at Access conditions and My Student Admin.